Yes, awe arises during the extraordinary: when viewing the Grand Canyon, touching the hand of a rock star like Iggy Pop, or experiencing the sacred during meditation or prayer. More frequently, though, people report feeling awe in response to more mundane things: when seeing the leaves of a Gingko tree change from green to yellow, in beholding the night sky when camping near a river, in seeing a stranger give their food to a homeless person, in seeing their child laugh just like their brother.
We need only to let God's mysterious and silent presence within us to become more and more what shapes us and everything we do. We need to learn the value of silence, stillness, and quiet because it is the way into our human heart, into our center where God dwells.